Phantom field fluctuation induced Higgs effect

Symmetry breaking solutions are investigated in the N→∞ limit for the ground state of a system consisting of a Lorentz-scalar, N component “phantom” field and an O(N) singlet. The most general form of O(N)×Z2 invariant quartic interaction is considered. The non-perturbatively renormalised solution demonstrates the possibility for Z2 symmetry breaking induced by phantom fluctuations. It becomes also evident that the strength of the “internal” dynamics of the N-component field tunes away the ratio of the Higgs condensate and the Higgs mass from its perturbative (nearly tree-level) expression.